Explaining a Bath Time Reflection Puzzle

  • Context: Undergrad 
  • Thread starter Thread starter YellowPeril
  • Start date Start date
  • Tags Tags
    Puzzle Reflection Time
Click For Summary
SUMMARY

The discussion centers on a reflection puzzle experienced during bath time, involving the geometry of light reflections on tiled walls. The user observes that the first light reflection aligns with the third tile, while the second reflection appears on the second tile, creating a discrepancy. This phenomenon is attributed to the parallax effect, where the observer's position affects the perceived alignment of reflections. The user seeks clarification on why two coincident points become misaligned due to the nature of reflections and the observer's angle.

PREREQUISITES
  • Understanding of basic geometry and Cartesian coordinates
  • Familiarity with the principles of light reflection
  • Knowledge of parallax and its effects on perception
  • Experience with visual observation and spatial reasoning
NEXT STEPS
  • Research the principles of light reflection and refraction
  • Explore the concept of parallax in optics
  • Study geometric optics and its applications in real-world scenarios
  • Investigate how observer position affects visual perception in reflective environments
USEFUL FOR

This discussion is beneficial for physics enthusiasts, students studying optics, and individuals interested in the geometrical aspects of light and reflection.

YellowPeril
Messages
12
Reaction score
0
This is a picture of me in my bath. (dont worry, it is purely diagramatic!). I face a wall to the front of the bath. There is also a wall to the left hand side of me. Both with shiny tiles. Their is a light above me and slightly behind to my right. While relaxing, I took note of the light bulb reflections on the wall and it's geometry (using the reflection of the front wall tiles on the left side wall as a coordinate reference point). What I noticed I can't explain precisely. The light reflects onto the front wall and I see the reflection. Using the tiles as coordinates, the first reflection is about a distance of three tiles to the right. When I look to my left I see the light reflection of the front wall reflected as a second reflection on the left wall. I also see the front wall tiles reflected on the left wall. What puzzles me is that the second reflection now falls on the second tile instead of the first. (See diagram). Can you explain this.

To put the problem more succinctly, the first reflection is coincident with a point which has a x cartesian coordinate of three (Third tile). The third tile also has a x cartesian coordinate of three. However on the reflection the third tile has a x cartesian coordinate of three but the x cartesian coordinate of the lights second reflection is 2. I.e. Two points that were coincident are no longer coincident.

(Is the difference due to the fact that the tile point is reflected only once while the light it reflected twice?)
 

Attachments

Science news on Phys.org
Parallax--remember that the images of the light are not ON the surface of the reflecting tiles, but some distance behind it. Your point of observation is not directly flat against the wall to your left; if it were, the images would line up the way you expect. Try it.
 

Similar threads

  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 15 ·
Replies
15
Views
4K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 11 ·
Replies
11
Views
3K
  • · Replies 10 ·
Replies
10
Views
3K
  • · Replies 19 ·
Replies
19
Views
6K
  • · Replies 12 ·
Replies
12
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K